##### Example4.2.5

The matrix $$\left[\begin{array}{rr} 2 \amp 1 \\ 0 \amp 2 \\ \end{array}\right]$$ has the characteristic equation $$(2-\lambda)^2 = 0\text{.}$$ Once again, there is a single eigenvalue $$\lambda = 2$$ having multiplicity $$m = 2\text{.}$$ In contrast with the previous example, we saw that $$\dim E_2 = 1 \leq m = 2\text{.}$$

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